{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import spatial\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.manifold import TSNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "embeddings_dict = {}\n",
    "with open(\"glove.6B.50d.txt\", 'r', encoding='utf-8') as f:\n",
    "    for line in f:\n",
    "        values = line.split()\n",
    "        token = values[0]\n",
    "        vector = np.asarray(values[1:], \"float32\")\n",
    "        embeddings_dict[token] = vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_closest_embeddings(embedding, cutoff=25):\n",
    "    return sorted(embeddings_dict.keys(), key=lambda token: spatial.distance.euclidean(embeddings_dict[token], embedding))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['fingernails', 'toenails', 'stringy', 'peeling', 'shove']\n"
     ]
    }
   ],
   "source": [
    "print(find_closest_embeddings(\n",
    "    embeddings_dict[\"twig\"] - embeddings_dict[\"branch\"] + embeddings_dict[\"hand\"]\n",
    ")[:5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "tsne = TSNE(n_components=2, random_state=0)\n",
    "\n",
    "tokens = list(embeddings_dict.keys())\n",
    "vectors = [embeddings_dict[token] for token in tokens]\n",
    "\n",
    "Y = tsne.fit_transform(vectors[:200])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(Y[:, 0], Y[:, 1])\n",
    "for label, x, y in zip(tokens, Y[:, 0], Y[:, 1]):\n",
    "    plt.annotate(label, xy=(x, y), xytext=(0, 0), textcoords='offset points')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsne = TSNE(n_components=2, random_state=0)\n",
    "\n",
    "tokens = [\"branch\", \"twig\", \"finger\", \"hand\"]\n",
    "vectors = [embeddings_dict[token] for token in tokens]\n",
    "\n",
    "Y = tsne.fit_transform(vectors[:1000])\n",
    "\n",
    "plt.scatter(Y[:, 0], Y[:, 1])\n",
    "for label, x, y in zip(tokens, Y[:, 0], Y[:, 1]):\n",
    "    plt.annotate(label, xy=(x, y), xytext=(0, 0), textcoords='offset points')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
